Mitsuyasu Hashimoto's Books

Auslander-Buchweitz Approximations of Equivariant Modules

By: Mitsuyasu Hashimoto

Write a review Read reviews Take a Quiz Solve Book Puzzle

Auslander-Buchweitz Approximations of Equivariant Modules

By: Mitsuyasu Hashimoto

This book focuses on homological aspects of equivariant modules. It presents a new homological approximation theory in the category of equivariant modules, unifying the Cohen-Macaulay approximations in commutative ring theory and Ringel's theory of delta-good approximations for quasi-hereditary algebras and reductive groups. It also provides detailed introduction to homological algebra, commutative ring theory and homological theory of comodules of co-algebras over an arbitrary base. The book is primarily aimed at researchers but will also be suitable for graduate students.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

301

Publisher

Cambridge University Press

Published Date

ISBN 10

0521796962

ISBN 13

9780521796965

Foundations of Grothendieck Duality for Diagrams of Schemes

By: Joseph Lipman,Mitsuyasu Hashimoto

Write a review Read reviews Take a Quiz Solve Book Puzzle

Foundations of Grothendieck Duality for Diagrams of Schemes

By: Joseph Lipman,Mitsuyasu Hashimoto

The first part written by Joseph Lipman, accessible to mid-level graduate students, is a full exposition of the abstract foundations of Grothendieck duality theory for schemes (twisted inverse image, tor-independent base change,...), in part without noetherian hypotheses, and with some refinements for maps of finite tor-dimension. The ground is prepared by a lengthy treatment of the rich formalism of relations among the derived functors, for unbounded complexes over ringed spaces, of the sheaf functors tensor, hom, direct and inverse image. Included are enhancements, for quasi-compact quasi-separated schemes, of classical results such as the projection and Künneth isomorphisms. In the second part, written independently by Mitsuyasu Hashimoto, the theory is extended to the context of diagrams of schemes. This includes, as a special case, an equivariant theory for schemes with group actions. In particular, after various basic operations on sheaves such as (derived) direct images and inverse images are set up, Grothendieck duality and flat base change for diagrams of schemes are proved. Also, dualizing complexes are studied in this context. As an application to group actions, we generalize Watanabe's theorem on the Gorenstein property of invariant subrings.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

471

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540854193

ISBN 13

9783540854197

Auslander-Buchweitz Approximations of Equivariant Modules

By: Mitsuyasu Hashimoto

Write a review Read reviews Take a Quiz Solve Book Puzzle

Auslander-Buchweitz Approximations of Equivariant Modules

By: Mitsuyasu Hashimoto

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

301

Publisher

Cambridge University Press

Published Date

ISBN 10

0521796962

ISBN 13

9780521796965

Foundations of Grothendieck Duality for Diagrams of Schemes

By: Joseph Lipman,Mitsuyasu Hashimoto

Write a review Read reviews Take a Quiz Solve Book Puzzle

Foundations of Grothendieck Duality for Diagrams of Schemes

By: Joseph Lipman,Mitsuyasu Hashimoto

Part One of this book covers the abstract foundations of Grothendieck duality theory for schemes in part with noetherian hypotheses and with some refinements for maps of finite tor-dimension. Part Two extends the theory to the context of diagrams of schemes.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

471

Publisher

Springer

Published Date

ISBN 10

3540854207

ISBN 13

9783540854203

Book's by Mitsuyasu Hashimoto

Auslander-Buchweitz Approximations of Equivariant Modules

Auslander-Buchweitz Approximations of Equivariant Modules

Foundations of Grothendieck Duality for Diagrams of Schemes

Foundations of Grothendieck Duality for Diagrams of Schemes

Auslander-Buchweitz Approximations of Equivariant Modules

Auslander-Buchweitz Approximations of Equivariant Modules

Foundations of Grothendieck Duality for Diagrams of Schemes

Foundations of Grothendieck Duality for Diagrams of Schemes

Username

Password

Username

Password

Password again

Birthday

Email